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Finding the Fourth Proportional to 156,752, 216,318.16 and 85,133.24

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Solution

The fourth proportional to 156,752, 216,318.16 and 85,133.24 is: 117,484.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,752 : 216,318.16 = 85,133.24 : x
  2. Step 2: Convert to fraction form
    156,752/216,318.16 = 85,133.24/x
  3. Step 3: Cross multiply
    156,752x = 216,318.16 × 85,133.24
  4. Step 4: Simplify right side
    156,752x = 18,415,865,831.64
  5. Step 5: Solve for x
    x = 18,415,865,831.64/156,752
  6. Step 6: Final answer
    x = 117,484.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.